A dual frequency synthesizer includes a reference oscillator, an R counter, a first fractional-N phase-locked loop (for a receiving channel) and a second fractional-N phase-locked loop (for a transmitting channel) and one shared sigma-delta modulator. The reference oscillator outputs a reference oscillation frequency clock. The R counter outputs a reference frequency clock based on the reference oscillation frequency clock. The first fractional-N phase-locked loop (PLL) (for a receiving channel) generates a first (receiving channel frequency) clock based on the reference frequency clock. The second fractional-N phase-locked loop (for a transmitting channel) generates a second (transmitting channel frequency) clock based on the same reference frequency clock. Both fractional-N phase-locked loops share a common sigma-delta modulator. Therefore, the chip size of the dual frequency synthesizer may be reduced.